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	details

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	Impl

Classes
struct	BiCGStabIterationState
	Structure to contain pointers to BiCGStabIteration state variables. More...

class	BiCGStabIter
	This class implements the pseudo-block BiCGStab iteration, where the basic BiCGStab algorithm is performed on all of the linear systems simultaneously. More...

class	BiCGStabSolMgrLinearProblemFailure
	BiCGStabSolMgrLinearProblemFailure is thrown when the linear problem is not setup (i.e. More...

class	BiCGStabSolMgrOrthoFailure
	BiCGStabSolMgrOrthoFailure is thrown when the orthogonalization manager is unable to generate orthonormal columns from the initial basis vectors. More...

class	BiCGStabSolMgr
	The Belos::BiCGStabSolMgr provides a powerful and fully-featured solver manager over the pseudo-block BiCGStab iteration. More...

class	BlockCGIter
	Stub implementation of BlockCGIter, for ScalarType types for which Teuchos::LAPACK does NOT have a valid implementation. More...

class	BlockCGIter< ScalarType, MV, OP, true >
	Partial specialization for ScalarType types for which Teuchos::LAPACK has a valid implementation. More...

class	BlockCGSolMgrLinearProblemFailure
	BlockCGSolMgrLinearProblemFailure is thrown when the linear problem is not setup (i.e. More...

class	BlockCGSolMgrOrthoFailure
	BlockCGSolMgrOrthoFailure is thrown when the orthogonalization manager is unable to generate orthonormal columns from the initial basis vectors. More...

class	BlockCGSolMgr
	The Belos::BlockCGSolMgr provides a powerful and fully-featured solver manager over the CG and BlockCG linear solver. More...

class	BlockCGSolMgr< ScalarType, MV, OP, true >

class	BlockFGmresIter
	This class implements the block flexible GMRES iteration, where a block Krylov subspace is constructed. The QR decomposition of block, upper Hessenberg matrix is performed each iteration to update the least squares system and give the current linear system residuals. More...

struct	BlockGCRODRIterState
	Structure to contain pointers to BlockGCRODRIter state variables. More...

class	BlockGCRODRIterInitFailure
	BlockGCRODRIterInitFailure is thrown when the BlockGCRODRIter object is unable to generate an initial iterate in the BlockGCRODRIter::initialize() routine. More...

class	BlockGCRODRIterOrthoFailure
	BlockGCRODRIterOrthoFailure is thrown when the BlockGCRODRIter object is unable to compute independent direction vectors in the BlockGCRODRIter::iterate() routine. More...

class	BlockGCRODRIter
	Implementation of the Block GCRO-DR (Block Recycling GMRES) iteration. More...

class	BlockGCRODRSolMgrLinearProblemFailure
	Thrown when the linear problem was not set up correctly. More...

class	BlockGCRODRSolMgrOrthoFailure
	Thrown when the solution manager was unable to orthogonalize the basis vectors. More...

class	BlockGCRODRSolMgrLAPACKFailure
	Thrown when an LAPACK call fails. More...

class	BlockGCRODRSolMgrRecyclingFailure
	Thrown if any problem occurs in using or creating the recycle subspace. More...

class	BlockGCRODRSolMgr
	A solver manager for the Block GCRO-DR (Block Recycling GMRES) linear solver. More...

class	BlockGmresIter
	This class implements the block GMRES iteration, where a block Krylov subspace is constructed. The QR decomposition of block, upper Hessenberg matrix is performed each iteration to update the least squares system and give the current linear system residuals. More...

class	BlockGmresSolMgrLinearProblemFailure
	BlockGmresSolMgrLinearProblemFailure is thrown when the linear problem is not setup (i.e. More...

class	BlockGmresSolMgrOrthoFailure
	BlockGmresSolMgrOrthoFailure is thrown when the orthogonalization manager is unable to generate orthonormal columns from the initial basis vectors. More...

class	BlockGmresSolMgr
	Interface to Block GMRES and Flexible GMRES. More...

class	CGIter
	This class implements the preconditioned Conjugate Gradient (CG) iteration. More...

struct	CGIterationState
	Structure to contain pointers to CGIteration state variables. More...

class	CGIterationInitFailure
	CGIterationInitFailure is thrown when the CGIteration object is unable to generate an initial iterate in the CGIteration::initialize() routine. More...

class	CGIterateFailure
	CGIterateFailure is thrown when the CGIteration object is unable to compute the next iterate in the CGIteration::iterate() routine. More...

class	CGIterationOrthoFailure
	CGIterationOrthoFailure is thrown when the CGIteration object is unable to compute independent direction vectors in the CGIteration::iterate() routine. More...

class	CGIterationLAPACKFailure
	CGIterationLAPACKFailure is thrown when a nonzero return value is passed back from an LAPACK routine. More...

class	CGIteration

class	CGSingleRedIter
	This class implements the preconditioned single-reduction Conjugate Gradient (CG) iteration. More...

class	CustomSolverFactory
	Interface for custom Belos solver factories. More...

class	DGKSOrthoManager
	An implementation of the Belos::MatOrthoManager that performs orthogonalization using (potentially) multiple steps of classical Gram-Schmidt. More...

class	FixedPointIter
	This class implements the preconditioned fixed point iteration. More...

struct	FixedPointIterationState
	Structure to contain pointers to FixedPointIteration state variables. More...

class	FixedPointIterationInitFailure
	FixedPointIterationInitFailure is thrown when the FixedPointIteration object is unable to generate an initial iterate in the FixedPointIteration::initialize() routine. More...

class	FixedPointIterateFailure
	FixedPointIterateFailure is thrown when the FixedPointIteration object is unable to compute the next iterate in the FixedPointIteration::iterate() routine. More...

class	FixedPointIterationOrthoFailure
	FixedPointIterationOrthoFailure is thrown when the FixedPointIteration object is unable to compute independent direction vectors in the FixedPointIteration::iterate() routine. More...

class	FixedPointIterationLAPACKFailure
	FixedPointIterationLAPACKFailure is thrown when a nonzero return value is passed back from an LAPACK routine. More...

class	FixedPointIteration

class	FixedPointSolMgrLinearProblemFailure
	FixedPointSolMgrLinearProblemFailure is thrown when the linear problem is not setup (i.e. More...

class	FixedPointSolMgr
	The Belos::FixedPointSolMgr provides a powerful and fully-featured solver manager over the FixedPoint linear solver. More...

struct	GCRODRIterState
	Structure to contain pointers to GCRODRIter state variables. More...

class	GCRODRIterInitFailure
	GCRODRIterInitFailure is thrown when the GCRODRIter object is unable to generate an initial iterate in the GCRODRIter::initialize() routine. More...

class	GCRODRIterOrthoFailure
	GCRODRIterOrthoFailure is thrown when the GCRODRIter object is unable to compute independent direction vectors in the GCRODRIter::iterate() routine. More...

class	GCRODRIter
	This class implements the GCRODR iteration, where a single-std::vector Krylov subspace is constructed. The QR decomposition of block, upper Hessenberg matrix is performed each iteration to update the least squares system and give the current linear system residuals. More...

class	GCRODRSolMgrLinearProblemFailure
	GCRODRSolMgrLinearProblemFailure is thrown when the linear problem is not setup (i.e. More...

class	GCRODRSolMgrOrthoFailure
	GCRODRSolMgrOrthoFailure is thrown when the orthogonalization manager is unable to generate orthonormal columns from the initial basis vectors. More...

class	GCRODRSolMgrLAPACKFailure
	GCRODRSolMgrLAPACKFailure is thrown when a nonzero value is retuned from an LAPACK call. More...

class	GCRODRSolMgrRecyclingFailure
	GCRODRSolMgrRecyclingFailure is thrown when any problem occurs in using/creating the recycling subspace. More...

class	GCRODRSolMgr
	Implementation of the GCRODR (Recycling GMRES) iterative linear solver. More...

class	GCRODRSolMgr< ScalarType, MV, OP, true >
	Partial specialization for ScalarType types for which Teuchos::LAPACK has a valid implementation. More...

struct	GmresIterationState
	Structure to contain pointers to GmresIteration state variables. More...

class	GmresIterationInitFailure
	GmresIterationInitFailure is thrown when the GmresIteration object is unable to generate an initial iterate in the GmresIteration::initialize() routine. More...

class	GmresIterationOrthoFailure
	GmresIterationOrthoFailure is thrown when the GmresIteration object is unable to compute independent direction vectors in the GmresIteration::iterate() routine. More...

class	GmresIterationLAPACKFailure
	GmresIterationLAPACKFailure is thrown when a nonzero return value is passed back from an LAPACK routine. More...

class	GmresIteration

class	GmresPolyOpOrthoFailure
	GmresPolyOpOrthoFailure is thrown when the orthogonalization manager is unable to generate orthonormal columns from the initial basis vectors. More...

class	GmresPolyMv

class	GmresPolyOp
	Belos's class for applying the GMRES polynomial operator that is used by the hybrid-GMRES linear solver. More...

class	GmresPolySolMgrLinearProblemFailure
	GmresPolySolMgrLinearProblemFailure is thrown when the linear problem is not setup (i.e. More...

class	GmresPolySolMgrPolynomialFailure
	GmresPolySolMgrPolynomialFailure is thrown when their is a problem generating the GMRES polynomial for this linear problem. More...

class	GmresPolySolMgr
	The GMRES polynomial can be created in conjunction with any standard preconditioner. More...

class	ICGSOrthoManager
	An implementation of the Belos::MatOrthoManager that performs orthogonalization using multiple steps of classical Gram-Schmidt. More...

class	IMGSOrthoManager
	An implementation of the Belos::MatOrthoManager that performs orthogonalization using multiple steps of modified Gram-Schmidt. More...

class	InnerSolver
	Inner solver interface. More...

class	OperatorTraits< Scalar, MV, InnerSolver< Scalar, MV, OP > >
	Partial specialization of OperatorTraits for InnerSolver. More...

class	UndefinedWrapperType
	Undefined wrapper type, to check at compile time whether InnerSolverTraits has been specialized. More...

class	InnerSolverTraits
	Wrap an InnerSolver in an OP (operator). More...

class	InnerSolveResult
	Represents the result of an inner solve. More...

class	LinearProblem
	A linear system to solve, and its associated information. More...

class	OutputManager
	Belos's basic output manager for sending information of select verbosity levels to the appropriate output stream. More...

class	StatusTest
	A pure virtual class for defining the status tests for the Belos iterative solvers. More...

class	MatOrthoManager
	Belos's templated virtual class for providing routines for orthogonalization and orthonormzalition of multivectors using matrix-based inner products. More...

class	Iteration

class	LinearProblemError
	Exception thrown to signal error with the Belos::LinearProblem object. More...

class	LSQRIter
	Implementation of the LSQR iteration. More...

struct	LSQRIterationState
	Structure to contain pointers to LSQRIteration state variables, ... More...

class	LSQRIterationInitFailure
	LSQRIterationInitFailure is thrown when the LSQRIteration object is unable to generate an initial iterate in the initialize() routine. More...

class	LSQRIterateFailure
	LSQRIterateFailure is thrown when the LSQRIteration object is unable to compute the next iterate in the iterate() routine. More...

class	LSQRIterationOrthoFailure
	LSQRIterationOrthoFailure is thrown when the LSQRIteration object is unable to compute independent direction vectors in the iterate() routine. More...

class	LSQRIterationLAPACKFailure
	LSQRIterationLAPACKFailure is thrown when a nonzero return value is passed back from an LAPACK routine. More...

class	LSQRSolMgrLinearProblemFailure
	Belos::LSQRSolMgrLinearProblemFailure is thrown when the linear problem is not setup (i.e. More...

class	LSQRSolMgrOrthoFailure
	LSQRSolMgrOrthoFailure is thrown when the orthogonalization manager is unable to generate orthonormal columns from the initial basis vectors. More...

class	LSQRSolMgrBlockSizeFailure
	LSQRSolMgrBlockSizeFailure is thrown when the linear problem has more than one RHS. More...

class	LSQRSolMgr
	LSQR method (for linear systems and linear least-squares problems). More...

class	LSQRSolMgr< ScalarType, MV, OP, false >

class	LSQRStatusTest

class	MinresIter
	MINRES implementation. More...

struct	MinresIterationState
	Structure to contain pointers to MinresIteration state variables. More...

class	MinresIterationInitFailure
	MinresIterationInitFailure is thrown when the MinresIteration object is unable to generate an initial iterate in the MinresIteration::initialize() routine. More...

class	MinresIterateFailure
	MinresIterateFailure is thrown when the MinresIteration object is unable to compute the next iterate in the MinresIteration::iterate() routine. More...

class	MinresIterationOrthoFailure
	MinresIterationOrthoFailure is thrown when the MinresIteration object is unable to compute independent direction vectors in the MinresIteration::iterate() routine. More...

class	MinresIterationLAPACKFailure
	MinresIterationLAPACKFailure is thrown when a nonzero return value is passed back from an LAPACK routine. More...

class	MinresIteration

class	MinresSolMgrLinearProblemFailure
	This subclass of std::exception may be thrown from the MinresSolMgr::solve() method. More...

class	MinresSolMgr
	MINRES linear solver solution manager. More...

class	MultiVec
	Interface for multivectors used by Belos' linear solvers. More...

class	MultiVecTraits< ScalarType, MultiVec< ScalarType > >
	Specialization of MultiVecTraits for Belos::MultiVec. More...

class	UndefinedMultiVecTraits
	Used by MultiVecTraits to report lack of a specialization. More...

class	MultiVecTraits
	Traits class which defines basic operations on multivectors. More...

class	Operator
	Alternative run-time polymorphic interface for operators. More...

class	OperatorTraits< ScalarType, MultiVec< ScalarType >, Operator< ScalarType > >
	Specialization of OperatorTraits for Operator and MultiVec. More...

class	OperatorT

class	OperatorTraits< ScalarType, MV, OperatorT< MV > >
	Specialization of OperatorTraits for OperatorT. More...

class	UndefinedOperatorTraits
	Class used to require specialization of OperatorTraits. More...

class	OperatorTraits
	Class which defines basic traits for the operator type. More...

class	OrthoError
	Exception thrown to signal error in an orthogonalization manager method. More...

class	OrthoManager
	Belos's templated virtual class for providing routines for orthogonalization and orthonormzalition of multivectors. More...

class	OrthoManagerFactory
	Enumeration of all valid Belos (Mat)OrthoManager classes. More...

struct	PCPGIterState
	Structure to contain pointers to PCPGIter state variables. More...

class	PCPGIterInitFailure
	PCPGIterInitFailure is thrown when the PCPGIter object is unable to generate an initial iterate in the PCPGIter::initialize() routine. More...

class	PCPGIterateFailure
	PCPGIterateFailure is thrown when the PCPGIter object breaks down. More...

class	PCPGIterOrthoFailure
	PCPGIterOrthoFailure is thrown when the PCPGIter object is unable to compute independent direction vectors in the PCPGIter::iterate() routine. More...

class	PCPGIterLAPACKFailure
	PCPGIterLAPACKFailure is thrown when a nonzero return value is passed back from an LAPACK routine. More...

class	PCPGIter
	This class implements the PCPG iteration, where a single-std::vector Krylov subspace is constructed. The documentation refers to blocks, but note that at this point, all blocks have unit dimension. More...

class	PCPGSolMgrLinearProblemFailure
	PCPGSolMgrLinearProblemFailure is thrown when the linear problem is not setup (i.e. More...

class	PCPGSolMgrOrthoFailure
	PCPGSolMgrOrthoFailure is thrown when the orthogonalization manager is unable to generate orthonormal columns from the initial basis vectors. More...

class	PCPGSolMgrLAPACKFailure
	PCPGSolMgrLAPACKFailure is thrown when a nonzero value is retuned from an LAPACK call. More...

class	PCPGSolMgrRecyclingFailure
	PCPGSolMgrRecyclingFailure is thrown when any problem occurs in using/creating the recycling subspace. More...

class	PCPGSolMgr
	PCPG iterative linear solver. More...

class	PCPGSolMgr< ScalarType, MV, OP, true >

class	PseudoBlockCGIter
	This class implements the pseudo-block CG iteration, where the basic CG algorithm is performed on all of the linear systems simultaneously. More...

class	PseudoBlockCGSolMgrLinearProblemFailure
	PseudoBlockCGSolMgrLinearProblemFailure is thrown when the linear problem is not setup (i.e. More...

class	PseudoBlockCGSolMgrOrthoFailure
	PseudoBlockCGSolMgrOrthoFailure is thrown when the orthogonalization manager is unable to generate orthonormal columns from the initial basis vectors. More...

class	PseudoBlockCGSolMgr
	The Belos::PseudoBlockCGSolMgr provides a powerful and fully-featured solver manager over the pseudo-block CG iteration. More...

class	PseudoBlockCGSolMgr< ScalarType, MV, OP, true >

struct	PseudoBlockGmresIterState
	Structure to contain pointers to PseudoBlockGmresIter state variables. More...

class	PseudoBlockGmresIterInitFailure
	PseudoBlockGmresIterInitFailure is thrown when the PseudoBlockGmresIter object is unable to generate an initial iterate in the PseudoBlockGmresIter::initialize() routine. More...

class	PseudoBlockGmresIterOrthoFailure
	PseudoBlockGmresIterOrthoFailure is thrown when the orthogonalization manager is unable to generate orthonormal columns from the new basis vectors. More...

class	PseudoBlockGmresIter
	This class implements the pseudo-block GMRES iteration, where a block Krylov subspace is constructed for all of the linear systems simultaneously. The QR decomposition of each block, upper Hessenberg matrix is performed each iteration to update the least squares system and give the current linear system residuals. More...

class	PseudoBlockGmresSolMgrLinearProblemFailure
	PseudoBlockGmresSolMgrLinearProblemFailure is thrown when the linear problem is not setup (i.e. More...

class	PseudoBlockGmresSolMgrOrthoFailure
	PseudoBlockGmresSolMgrOrthoFailure is thrown when the orthogonalization manager is unable to generate orthonormal columns from the initial basis vectors. More...

class	PseudoBlockGmresSolMgr
	Interface to standard and "pseudoblock" GMRES. More...

class	PseudoBlockStochasticCGIter
	This class implements the stochastic pseudo-block CG iteration, where the basic stochastic CG algorithm is performed on all of the linear systems simultaneously. The implementation is a pseudo-block generalization of the stochastic CG algorithm of Parker and Fox, SISC 2012. More...

class	PseudoBlockStochasticCGSolMgrLinearProblemFailure
	PseudoBlockStochasticCGSolMgrLinearProblemFailure is thrown when the linear problem is not setup (i.e. More...

class	PseudoBlockStochasticCGSolMgrOrthoFailure
	PseudoBlockStochasticCGSolMgrOrthoFailure is thrown when the orthogonalization manager is unable to generate orthonormal columns from the initial basis vectors. More...

class	PseudoBlockStochasticCGSolMgr
	The Belos::PseudoBlockStochasticCGSolMgr provides a powerful and fully-featured solver manager over the pseudo-block CG iteration. More...

struct	PseudoBlockTFQMRIterState
	Structure to contain pointers to PseudoBlockTFQMRIter state variables. More...

class	PseudoBlockTFQMRIterInitFailure
	PseudoBlockTFQMRIterInitFailure is thrown when the PseudoBlockTFQMRIter object is unable to generate an initial iterate in the PseudoBlockTFQMRIter::initialize() routine. More...

class	PseudoBlockTFQMRIterateFailure
	PseudoBlockTFQMRIterateFailure is thrown when the PseudoBlockTFQMRIter object is unable to compute the next iterate in the PseudoBlockTFQMRIter::iterate() routine. More...

class	PseudoBlockTFQMRIter
	This class implements the preconditioned transpose-free QMR algorithm for solving non-Hermitian linear systems of equations Ax = b, where b is the right-hand side vector and x is the corresponding solution. More...

class	PseudoBlockTFQMRSolMgrLinearProblemFailure
	PseudoBlockTFQMRSolMgrLinearProblemFailure is thrown when the linear problem is not setup (i.e. More...

class	PseudoBlockTFQMRSolMgrOrthoFailure
	PseudoBlockTFQMRSolMgrOrthoFailure is thrown when the orthogonalization manager is unable to generate orthonormal columns from the initial basis vectors. More...

class	PseudoBlockTFQMRSolMgr
	The Belos::PseudoBlockTFQMRSolMgr provides a powerful and fully-featured solver manager over the pseudo-block TFQMR linear solver. More...

struct	RCGIterState
	Structure to contain pointers to RCGIter state variables. More...

class	RCGIterInitFailure
	RCGIterInitFailure is thrown when the RCGIter object is unable to generate an initial iterate in the RCGIter::initialize() routine. More...

class	RCGIterFailure
	RCGIterFailure is thrown when the RCGIter object is unable to compute the next iterate in the RCGIter::iterate() routine. More...

class	RCGIterOrthoFailure
	RCGIterOrthoFailure is thrown when the RCGIter object is unable to compute independent direction vectors in the RCGIter::iterate() routine. More...

class	RCGIterLAPACKFailure
	RCGIterLAPACKFailure is thrown when a nonzero return value is passed back from an LAPACK routine. More...

class	RCGIter
	This class implements the RCG iteration, where a single-std::vector Krylov subspace is constructed. More...

class	RCGSolMgrLinearProblemFailure
	RCGSolMgrLinearProblemFailure is thrown when the linear problem is not setup (i.e. More...

class	RCGSolMgrLAPACKFailure
	RCGSolMgrLAPACKFailure is thrown when a nonzero value is retuned from an LAPACK call. More...

class	RCGSolMgrRecyclingFailure
	RCGSolMgrRecyclingFailure is thrown when any problem occurs in using/creating the recycling subspace. More...

class	RCGSolMgr
	Implementation of the RCG (Recycling Conjugate Gradient) iterative linear solver. More...

class	RCGSolMgr< ScalarType, MV, OP, true >

class	SimpleOrthoManager
	Simple OrthoManager implementation for benchmarks. More...

class	BelosSolverFactory

class	GenericSolverFactory

class	SolverManager
	The Belos::SolverManager is a templated virtual base class that defines the basic interface that any solver manager will support. More...

class	StatusTestError
	Exception thrown to signal error in a status test during Belos::StatusTest::checkStatus(). More...

class	StatusTestCombo
	A class for extending the status testing capabilities of Belos via logical combinations. More...

class	StatusTestFactory
	Factory to build a set of status tests from a parameter list. More...

class	StatusTestGeneralOutput
	A special StatusTest for printing other status tests. More...

class	StatusTestGenResNorm
	An implementation of StatusTestResNorm using a family of residual norms. More...

class	StatusTestGenResSubNorm
	An implementation of StatusTestResNorm using a family of norms of subvectors of the residual vectors. More...

class	StatusTestImpResNorm
	Convergence test using the implicit residual norm(s), with an explicit residual norm(s) check for loss of accuracy if necessary. More...

class	StatusTestLogResNorm
	A Belos::StatusTest debugging class for storing the absolute residual norms generated during a solve. More...

class	StatusTestMaxIters
	A Belos::StatusTest class for specifying a maximum number of iterations. More...

class	StatusTestOutput
	A virtual base class for StatusTest that print other status tests. More...

class	StatusTestOutputFactory
	A factory class for generating StatusTestOutput objects. More...

class	StatusTestResNorm
	An abstract class of StatusTest for stopping criteria using residual norms. More...

class	StatusTestResNormOutput
	A special StatusTest for printing other status tests in a simple format. More...

class	StatusTestUserOutput
	A special StatusTest for printing other status tests in a simple format. More...

struct	StochasticCGIterationState
	Structure to contain pointers to CGIteration state variables. More...

class	StochasticCGIteration

struct	TFQMRIterState
	Structure to contain pointers to TFQMRIter state variables. More...

class	TFQMRIterInitFailure
	TFQMRIterInitFailure is thrown when the TFQMRIter object is unable to generate an initial iterate in the TFQMRIter::initialize() routine. More...

class	TFQMRIterateFailure
	TFQMRIterateFailure is thrown when the TFQMRIter object is unable to compute the next iterate in the TFQMRIter::iterate() routine. More...

class	TFQMRIter
	This class implements the preconditioned transpose-free QMR algorithm for solving non-Hermitian linear systems of equations Ax = b, where b is the right-hand side vector and x is the corresponding solution. More...

class	TFQMRSolMgrLinearProblemFailure
	TFQMRSolMgrLinearProblemFailure is thrown when the linear problem is not setup (i.e. More...

class	TFQMRSolMgrOrthoFailure
	TFQMRSolMgrOrthoFailure is thrown when the orthogonalization manager is unable to generate orthonormal columns from the initial basis vectors. More...

class	TFQMRSolMgr
	The Belos::TFQMRSolMgr provides a powerful and fully-featured solver manager over the TFQMR linear solver. More...

class	OutOfPlaceNormalizerMixin
	Mixin for out-of-place orthogonalization. More...

class	TsqrOrthoManager
	TSQR-based OrthoManager subclass. More...

class	TsqrMatOrthoManager
	MatOrthoManager subclass using TSQR or DGKS. More...

class	TsqrOrthoError
	Error in TsqrOrthoManager or TsqrOrthoManagerImpl. More...

class	TsqrOrthoFault
	Orthogonalization fault. More...

class	ReorthogonalizationCallback
	Interface of callback invoked by TsqrOrthoManager on reorthogonalization. More...

class	TsqrOrthoManagerImpl
	TSQR-based OrthoManager subclass implementation. More...

class	BelosError
	Parent class to all Belos exceptions. More...

struct	DefaultSolverParameters
	Default parameters common to most Belos solvers. More...

Typedefs
template<class SC , class MV , class OP >
using	SolverFactory = typename::Belos::Impl::SolverFactorySelector< SC, MV, OP >::type

Enumerations
enum	ETrans { NOTRANS = 0, TRANS = 1, CONJTRANS = 2 }
	Whether to apply the (conjugate) transpose of an operator. More...

enum	NormType { OneNorm, TwoNorm, InfNorm, PreconditionerNorm }
	The type of vector norm to compute. More...

enum	ScaleType { NormOfRHS, NormOfInitRes, NormOfPrecInitRes, None, UserProvided, NormOfFullInitRes, NormOfFullPrecInitRes, NormOfFullScaledInitRes, NormOfFullScaledPrecInitRes }
	The type of scaling to use on the residual norm value. More...

enum	OutputType { General, Brief, User }
	Style of output used to display status test information. More...

enum	ReturnType { Converged, Unconverged }
	Whether the Belos solve converged for all linear systems. More...

enum	StatusType { Passed = 0x1, Failed = 0x2, Undefined = 0x4 }
	Whether the `StatusTest` wants iteration to stop. More...

enum	ResetType { Problem = 0x1, RecycleSubspace = 0x2 }
	How to reset the solver. More...

enum	ConjType { NO_CONJ, CONJ }
	Whether or not to conjugate the transpose for block inner products. More...

enum	MsgType { Errors = 0, Warnings = 0x1, IterationDetails = 0x2, OrthoDetails = 0x4, FinalSummary = 0x8, TimingDetails = 0x10, StatusTestDetails = 0x20, Debug = 0x40 }
	Available message types recognized by the linear solvers. More...

Functions
std::string	Belos_Version ()

template<class ScalarType , class MV , class OP >
Teuchos::RCP < Teuchos::ParameterList >	getDGKSDefaultParameters ()
	"Default" parameters for robustness and accuracy. More...

template<class ScalarType , class MV , class OP >
Teuchos::RCP < Teuchos::ParameterList >	getDGKSFastParameters ()
	"Fast" but possibly unsafe or less accurate parameters. More...

template<class ScalarType , class MV , class OP >
Teuchos::RCP < Teuchos::ParameterList >	getICGSDefaultParameters ()
	"Default" parameters for robustness and accuracy. More...

template<class ScalarType , class MV , class OP >
Teuchos::RCP < Teuchos::ParameterList >	getICGSFastParameters ()
	"Fast" but possibly unsafe or less accurate parameters. More...

template<class ScalarType , class MV , class OP >
Teuchos::RCP < Teuchos::ParameterList >	getIMGSDefaultParameters ()
	"Default" parameters for robustness and accuracy. More...

template<class ScalarType , class MV , class OP >
Teuchos::RCP < Teuchos::ParameterList >	getIMGSFastParameters ()
	"Fast" but possibly unsafe or less accurate parameters. More...

template<class Scalar , class MV , class OP >
Teuchos::RCP< LinearProblem < Scalar, MV, OP > >	problemWithNewRHS (const Teuchos::RCP< const LinearProblem< Scalar, MV, OP > > &problem, const Teuchos::RCP< const MV > &B)
	New LinearProblem with different right-hand side. More...

template<class ScalarType , class MV >
bool	TestMultiVecTraits (const Teuchos::RCP< OutputManager< ScalarType > > &om, const Teuchos::RCP< const MV > &A)
	Test correctness of a MultiVecTraits specialization and multivector implementation. More...

template<class ScalarType , class MV , class OP >
bool	TestOperatorTraits (const Teuchos::RCP< OutputManager< ScalarType > > &om, const Teuchos::RCP< const MV > &A, const Teuchos::RCP< const OP > &M)
	Test correctness of OperatorTraits specialization and its operator implementation. More...

std::string	convertStatusTypeToString (const StatusType status)
	The string name corresponding to the given StatusType enum value. More...

StatusType	convertStringToStatusType (const std::string &status)
	The StatusType enum value corresponding to the given string name. More...

NormType	convertStringToNormType (const std::string &normType)
	Convert the given string to its `NormType` enum value. More...

ScaleType	convertStringToScaleType (const std::string &scaleType)
	Convert the given string to its `ScaleType` enum value. More...

std::string	convertScaleTypeToString (const ScaleType scaleType)
	Convert the given `ScaleType` enum value to its corresponding string. More...

std::string	convertMsgTypeToString (const MsgType msgType)
	Show MsgType as a comma-delimited list of names. More...

std::string	convertReturnTypeToString (const ReturnType result)
	Convert the given `ReturnType` enum value to its corresponding string. More...

BELOS_DEPRECATED const char *	toString (const StatusType status)
	The string name corresponding to the given StatusType enum value. More...

Typedef Documentation

template<class SC , class MV , class OP >

using Belos::SolverFactory = typedef typename ::Belos::Impl::SolverFactorySelector<SC, MV, OP>::type

Definition at line 303 of file BelosSolverFactory.hpp.

Enumeration Type Documentation

enum Belos::ETrans

Whether to apply the (conjugate) transpose of an operator.

The OperatorTraits and Operator abstract interfaces to multivector-multivector operators have an Apply method, which implements applying the operator to a multivector. This method optionally allows callers to apply the transpose or conjugate transpose (if applicable) of the operator, by supplying an ETrans enum value.

Note: This enum is useful to you only if you are specializing OperatorTraits, implementing Operator, or implementing a Belos solver.

Enumerator
NOTRANS	The operator should not be transposed during this application.
TRANS	Apply the transpose of the operator.
CONJTRANS	Apply the conjugate transpose of the operator.

Definition at line 81 of file BelosTypes.hpp.

enum Belos::NormType

The type of vector norm to compute.

The MultiVecTraits and MultiVec abstract interfaces to multivector operations have a method (MvNorm) for computing the norm of one or more vectors. This method uses an optional NormType enum value to decide which kind of norm to compute.

Note: This enum is useful to you only if you are specializing MultiVecTraits, implementing MultiVec, or implementing a Belos solver.

Enumerator
OneNorm	Compute the one-norm $\sum_{i=1}^{n}(\|x_i w_i\|)$ for each vector.
TwoNorm	Compute the two-norm $\sqrt(\sum_{i=1}^{n}((x_i w_i)^2))$ for each vector.
InfNorm	Compute the infinity-norm $\max_{i=1}^{n}\{\|x_i w_i\|\}$ for each vector.
PreconditionerNorm	Compute the infinity-norm $\max_{i=1}^{n}\{\|x_i w_i\|\}$ for each vector.

Definition at line 97 of file BelosTypes.hpp.

enum Belos::ScaleType

The type of scaling to use on the residual norm value.

For residual norm convergence tests, the residual norm is scaled (divided) by some value. This enum specifies which value to use – for example, the norm of the right-hand side, the initial residual vector norm (preconditioned or not), a user-specified value, or no scaling at all.

A user-specified value is useful when invoking an iterative solver as the inner loop of a nonlinear solver or iterative optimization method. These may require special scaling factors (for example, that include the dimension of the linear system $N$ ).

Note: This enum is part of the public interface of many Belos solvers, via the input list of parameters.

Enumerator
NormOfRHS	Use the norm of the right-hand-side.
NormOfInitRes	Use the initial residual vector.
NormOfPrecInitRes	Use the preconditioned initial residual vector.
None	Use unscaled residual.
UserProvided	User provides an explicit value by which the residual norm will be divided.
NormOfFullInitRes	Use the full initial residual vector. Only interesting for partial subnorms. For singular fields this is equivalent with NormOfInitRes.
NormOfFullPrecInitRes	Use the full preconditioned initial residual vector. Only interesting for partial subnorms. For singular fields this is equivalent with NormOfPrecInitRes.
NormOfFullScaledInitRes	Use the full initial residual vector scaled by the inverse of the length of the subvector compared to the overall residual vector length. Only interesting for partial subnorms. For singular fields this is equivalent with NormOfInitRes.
NormOfFullScaledPrecInitRes	Use the full initial residual vector scaled by the inverse of the length of the subvector compared to the overall residual vector length. Only interesting for partial subnorms. For singular fields this is equivalent with NormOfInitRes.

Definition at line 120 of file BelosTypes.hpp.

enum Belos::OutputType

Style of output used to display status test information.

Belos solvers optionally display intermediate status output during iterations. "General" output may be quite verbose; each of the stopping criteria gets a chance to print something. "Brief" was intended to imitate AztecOO's status output.

Note: This enum is part of the public interface of many Belos solvers, via the input list of parameters.

Enumerator
General	Extensive output of status test information.
Brief	Simple output of current residual information.
User	Simple output of user-specified status tests tagged by user

Definition at line 141 of file BelosTypes.hpp.

enum Belos::ReturnType

Whether the Belos solve converged for all linear systems.

When the solve() method of any Belos::SolverManager is called, it returns a value of this type. This indicates whether the solver manager sucessfully solved the linear system(s).

Note: This enum is part of the public interface of all Belos solvers.

Enumerator
Converged	Convergence was reached for all linear systems.
Unconverged	Convergence was not reached for some or all linear systems.

Definition at line 155 of file BelosTypes.hpp.

enum Belos::StatusType

Whether the StatusTest wants iteration to stop.

Note: Only Belos developers and advanced users need this.

Belos solvers use subclasses of StatusTest as iteration stopping criteria. StatusTest's getStatus() and checkStatus() methods return a StatusType value, indicating whether iteration should stop. "Passed" means that according to the particular test, iteration should stop. "Failed" means that it should not yet stop.

Note that "Passed" does not necessarily mean "Converged." This can be a confusing point for new Belos developers. For most Belos solvers, the StatusTest instance that controls iteration is really a combination of two or more StatusTest instances. These include a test for reaching the maximum iteration count, and one or more convergence tests. When the maximum iteration count test Passes, it means that the maximum iteration count has been reached. In this case, the outer test also Passes, indicating that iteration should stop. However, this does not necessarily mean that the solver has converged.

This enum is useful to you only if you are implementing a subclass of StatusTest, Iteration, or SolverManager.

Enumerator
Passed	Some event occured, the iteration needs to stop.
Failed	No event has occurred requiring the iteration to stop.
Undefined	Status test has not been checked yet.

Definition at line 189 of file BelosTypes.hpp.

enum Belos::ResetType

How to reset the solver.

SolverManager's reset() method accepts an enum value of this type. Some Belos solvers have special capabilities, such as creating and using a recycling subspace. The RecycleSubspace enum value allows you to access these capabilities. For more details, see the documentation of the specific SolverManager subclass.

Note: This enum is part of the public interface of all Belos solvers.

Enumerator
Problem	Reset the linear problem inside the solver.
RecycleSubspace	Destroy any existing subspace inside the solver.

Definition at line 206 of file BelosTypes.hpp.

enum Belos::ConjType

Whether or not to conjugate the transpose for block inner products.

The MultiVecTraits and MultiVec abstract interfaces to linear algebra operations can compute block inner products using MvTransMv and MvDot. This enum specifies whether to use the transpose or conjugate transpose when computing block inner products.

Enumerator
NO_CONJ	Not conjugated
CONJ	Conjugated

Definition at line 246 of file BelosTypes.hpp.

enum Belos::MsgType

Available message types recognized by the linear solvers.

This enum allows users to control the kinds of output that Belos' solvers generate. MsgType is not an enum in the strictest sense, because the values are not exclusive. Rather, it is a C-style bit set. You can bitwise OR together different enum values to get a combination.

Note: This enum is part of the public interface of many Belos solvers, via the input list of parameters.

Enumerator
Errors	Errors [ always printed ]
Warnings	Internal warnings
IterationDetails	Approximate/exact residuals
OrthoDetails	Orthogonalization/orthonormalization details
FinalSummary	Final computational summary
TimingDetails	Timing details
StatusTestDetails	Status test details
Debug	Debugging information

Definition at line 262 of file BelosTypes.hpp.

Function Documentation

std::string Belos::Belos_Version ( )

Definition at line 50 of file BelosVersion.cpp.

template<class ScalarType , class MV , class OP >

Teuchos::RCP< Teuchos::ParameterList > Belos::getDGKSDefaultParameters ( )

"Default" parameters for robustness and accuracy.

Definition at line 1770 of file BelosDGKSOrthoManager.hpp.

template<class ScalarType , class MV , class OP >

Teuchos::RCP< Teuchos::ParameterList > Belos::getDGKSFastParameters ( )

"Fast" but possibly unsafe or less accurate parameters.

Definition at line 1795 of file BelosDGKSOrthoManager.hpp.

template<class ScalarType , class MV , class OP >

Teuchos::RCP< Teuchos::ParameterList > Belos::getICGSDefaultParameters ( )

"Default" parameters for robustness and accuracy.

Definition at line 1704 of file BelosICGSOrthoManager.hpp.

template<class ScalarType , class MV , class OP >

Teuchos::RCP< Teuchos::ParameterList > Belos::getICGSFastParameters ( )

"Fast" but possibly unsafe or less accurate parameters.

Definition at line 1727 of file BelosICGSOrthoManager.hpp.

template<class ScalarType , class MV , class OP >

Teuchos::RCP< Teuchos::ParameterList > Belos::getIMGSDefaultParameters ( )

"Default" parameters for robustness and accuracy.

Definition at line 1688 of file BelosIMGSOrthoManager.hpp.

template<class ScalarType , class MV , class OP >

Teuchos::RCP< Teuchos::ParameterList > Belos::getIMGSFastParameters ( )

"Fast" but possibly unsafe or less accurate parameters.

Definition at line 1711 of file BelosIMGSOrthoManager.hpp.

template<class Scalar , class MV , class OP >

Teuchos::RCP<LinearProblem<Scalar, MV, OP> > Belos::problemWithNewRHS	(	const Teuchos::RCP< const LinearProblem< Scalar, MV, OP > > &	problem,
		const Teuchos::RCP< const MV > &	B
	)

New LinearProblem with different right-hand side.

Given a LinearProblem instance, construct and return a new LinearProblem instance with the same operator, preconditioner(s), and current approximate solution, but a different right-hand side. The current approximate solution is copied deeply, but the operator and preconditioner(s) are only copied shallowly.

This is useful with InnerSolver subclasses.

Definition at line 66 of file BelosInnerSolver.hpp.

template<class ScalarType , class MV >

bool Belos::TestMultiVecTraits	(	const Teuchos::RCP< OutputManager< ScalarType > > &	om,
		const Teuchos::RCP< const MV > &	A
	)

Test correctness of a MultiVecTraits specialization and multivector implementation.

Template Parameters

ScalarType	The type of the entries in the multivectors; the first template parameter of MultiVecTraits.
MV	The multivector type; the second template parameter of MultiVecTraits.

Parameters

om	[in/out] A valid OutputManager, for displaying test results.
A	[in] An initial multivector, to use for making new multivectors. (Belos doesn't currently have a "vector space" abstraction; making a new multivector requires a valid input multivector to clone.)

Returns: Test result: true if all tests passed, else false.

Definition at line 86 of file BelosMVOPTester.hpp.

template<class ScalarType , class MV , class OP >

bool Belos::TestOperatorTraits	(	const Teuchos::RCP< OutputManager< ScalarType > > &	om,
		const Teuchos::RCP< const MV > &	A,
		const Teuchos::RCP< const OP > &	M
	)

Test correctness of OperatorTraits specialization and its operator implementation.

Template Parameters

ScalarType	The type of the entries in the multivectors; the first template parameter of MultiVecTraits and OperatorTraits.
MV	The multivector type; the second template parameter of MultiVecTraits and OperatorTraits.
OP	The operator type; the third template parameter of OperatorTraits.

Parameters

om	[in/out] A valid OutputManager, for displaying test results.
A	[in] An initial multivector, to use for making new multivectors. (Belos doesn't currently have a "vector space" abstraction; making a new multivector requires a valid input multivector to clone.)
M	[in] The operator to test.

Returns: Test result: true if all tests passed, else false.

Definition at line 1454 of file BelosMVOPTester.hpp.

std::string Belos::convertStatusTypeToString ( const StatusType status )

The string name corresponding to the given StatusType enum value.

Definition at line 66 of file BelosTypes.cpp.

StatusType Belos::convertStringToStatusType ( const std::string & status )

The StatusType enum value corresponding to the given string name.

Definition at line 72 of file BelosTypes.cpp.

NormType Belos::convertStringToNormType ( const std::string & normType )

Convert the given string to its NormType enum value.

Definition at line 88 of file BelosTypes.cpp.

ScaleType Belos::convertStringToScaleType ( const std::string & scaleType )

Convert the given string to its ScaleType enum value.

Definition at line 106 of file BelosTypes.cpp.

std::string Belos::convertScaleTypeToString ( const ScaleType scaleType )

Convert the given ScaleType enum value to its corresponding string.

Definition at line 126 of file BelosTypes.cpp.

std::string Belos::convertMsgTypeToString ( const MsgType msgType )

Show MsgType as a comma-delimited list of names.

The MsgType enum is really a C-style bit set (where you bitwise OR together different names to get a combination of values). This function returns a string representing the given MsgType (represented here as an int, mainly because Teuchos::ParameterList seems to prefer storing these kind of C-style bit sets as int rather than MsgType) as a comma-delimited, human-readable list of names. This is useful for debugging.

Definition at line 146 of file BelosTypes.cpp.

std::string Belos::convertReturnTypeToString ( const ReturnType result )

Convert the given ReturnType enum value to its corresponding string.

Definition at line 197 of file BelosTypes.cpp.

BELOS_DEPRECATED const char* Belos::toString ( const StatusType status )

The string name corresponding to the given StatusType enum value.

This method is DEPRECATED because the generic-sounding name of this function makes it easy to pass in the wrong enum type. Use convertStatusTypeToString() instead.

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